This material has been published in
J. Difference
Equ. Appl. 5 (1999), 335-351,
the only definitive repository of the content that has been
certified and accepted after peer review. Copyright and all rights therein
are retained by Taylor & Francis.
This material may not be copied or reposted
without explicit permission.
Christian Krattenthaler
A new proof of the M-R-R conjecture - including a generalization
(13 pages)
Abstract.
We evaluate the determinant $\det_{0\le i,j\le
n-1}(\de_{ij}+\sum _{t,k=0} ^{n-1}\binom
{i+\mu}t\binom {k+\nu}{k-t}\binom {j-k+\mu-1}{j-k}
2^{k-t})$ which gives the
2-enumeration of certain shifted plane partitions.
This generalizes a result of
Andrews (Aequationes Math. 33 (1987), 230-250), who evaluated
this determinant for \nu=0, thereby proving a conjecture of Mills,
Robbins and Rumsey (Discrete Math. 67 (1987), 43-55).
The following versions are available:
Back to Christian Krattenthaler's
home page.